TSTP Solution File: SYN006-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:08:26 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(resolution,[],[f12,f2]) ).

fof(f2,axiom,
    ! [X1] : p1(a,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f12,plain,
    ! [X0,X1] : ~ p1(X0,f(f(f(g(f(X1)))))),
    inference(resolution,[],[f11,f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( q1(f(X0),X1)
      | ~ p1(X0,f(X1)) ),
    inference(subsumption_resolution,[],[f1,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : ~ q2(X0,f(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ p1(X0,f(X1))
      | q2(X0,f(X1))
      | q1(f(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f11,plain,
    ! [X0,X1] : ~ q1(f(X0),f(f(g(f(X1))))),
    inference(resolution,[],[f10,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( p2(f(X0),X1)
      | ~ q1(X0,f(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f10,plain,
    ! [X0,X1] : ~ p2(f(f(X0)),f(g(f(X1)))),
    inference(subsumption_resolution,[],[f9,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : ~ q3(X0,g(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ p2(f(f(X0)),f(g(f(X1))))
      | q3(f(f(f(X0))),g(f(X1))) ),
    inference(resolution,[],[f4,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : ~ q4(f(f(X0)),f(g(f(X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( q4(X0,f(X1))
      | ~ p2(X0,f(X1))
      | q3(f(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:48:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (9585)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (9593)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (9593)First to succeed.
% 0.14/0.37  % (9593)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9585"
% 0.14/0.37  % (9593)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (9593)------------------------------
% 0.14/0.37  % (9593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (9593)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (9593)Memory used [KB]: 731
% 0.14/0.37  % (9593)Time elapsed: 0.002 s
% 0.14/0.37  % (9593)Instructions burned: 2 (million)
% 0.14/0.37  % (9585)Success in time 0.013 s
%------------------------------------------------------------------------------